TY - JOUR
T1 - Feedback control of the Kuramoto-Sivashinsky equation
AU - Armaou, Antonios
AU - Christofides, Panagiotis D.
N1 - Funding Information:
Financial support from an NSF CAREER award, CTS-9733509, is gratefully acknowledged.
Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2000/3/1
Y1 - 2000/3/1
N2 - This work focuses on linear finite-dimensional output feedback control of the Kuramoto-Sivashinsky equation (KSE) with periodic boundary conditions. Under the assumption that the linearization of the KSE around the zero solution is controllable and observable, linear finite-dimensional output feedback controllers are synthesized that achieve stabilization of the zero solution, for any value of the instability parameter. The controllers are synthesized on the basis of finite-dimensional approximations of the KSE which are obtained through Galerkin's method. The performance of the controllers is successfully tested through computer simulations.
AB - This work focuses on linear finite-dimensional output feedback control of the Kuramoto-Sivashinsky equation (KSE) with periodic boundary conditions. Under the assumption that the linearization of the KSE around the zero solution is controllable and observable, linear finite-dimensional output feedback controllers are synthesized that achieve stabilization of the zero solution, for any value of the instability parameter. The controllers are synthesized on the basis of finite-dimensional approximations of the KSE which are obtained through Galerkin's method. The performance of the controllers is successfully tested through computer simulations.
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U2 - 10.1016/S0167-2789(99)00175-X
DO - 10.1016/S0167-2789(99)00175-X
M3 - Article
AN - SCOPUS:0001841018
VL - 137
SP - 49
EP - 61
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
SN - 0167-2789
IS - 1-2
ER -